Answers
The measure of each interior angle of the regular polygon is equal to 150°.
What is a regular polygon?In Euclidean geometry, a regular polygon simply refers to a form of polygon which has all of its sides and interior angles being equal.
In Geometry, the sum of the interior angles of both a regular and irregular polygon is given by this formula:
Sum of interior angles = 180 × (n - 2)
Where:
n represents the number of sides of a regular polygon.
Similarly, the measure of each interior angle of a regular polygon can be calculated by using this mathematical expression:
Interior angles = [180 × (n - 2)]/n
Interior angles = [180 × (12 - 2)]/12
Interior angles = 180 × (10)/12
Interior angles = 1800/12
Interior angles = 150°
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Related Questions
Do the segments connecting points A, B, and C form a right triangle? Show work that leads to your answer. Round to the nearest tenths place if necessary.
Show your work please
Answers
Answer:c
Step-by-step explanation:
Question Decide if the expressions in each pair are equivalent. Select true or false for each.
a) (x + x + x + x) and (4x) are equivalent (Select ] b) (5x) and (x + 5) are equivalent
true or false
Answers
(a) The expressions (x + x + x + x) and (4x) are equivalent.
(b) The expressions (5x) and (x + 5) are not equivalent.
Equivalent expressions are expressions that perform the same function notwithstanding their appearance. If two algebraic expressions are equivalent, they have the same value when the variable is set to the same value.
a) True
The expressions (x + x + x + x) and (4x) are equivalent.
Both expressions represent the same mathematical operation, which is adding x four times.
b) False
The expressions (5x) and (x + 5) are not equivalent. They represent different mathematical operations.
The expression (5x) is multiplying x by 5, while the expression (x + 5) is adding x and 5.
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4. A movie theater is arranged with 7 seats in the front row, 12 seats in the middle row, and 11 seats in the back row. People enter the movie theater and randomly sit in different spots. What is the probability that the first peron who enter the theater will be in the middle row?
Answers
Answer: 1/30 is the probability.
sketch slope field for y′ = y2
Answers
The sketch field of given differential equation is attached in image .
A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
The equation y′=f(x,y) gives you a slope at each point in the (x,y)-plane. And this is the slope a solution y(x) would have at x if its value was y. In other words, f(x,y) is the slope of a solution whose graph runs through the point (x,y). At a point (x,y), we plot a short line with the slope f(x,y).
We have y'=y2
we can write it,
[tex]\frac{dy}{dx}=y^2[/tex]
[tex]\int y^{-2}dy=dx\\\\\frac{-1}{y}=x+c\\[/tex]
The sketch field of the given differential equation is attached in image.
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emma uses turquoise beads to make bracelets to sell at an event. the total amount emma earns, y, is proportional to the number of bracelets, x, she sells. emma earns $10 for each sold bracelet. which equation represents the total amount emma earns at the event?
Answers
The equation representing the total amount Emma earns at the event is y = $10x.
If the total amount Emma earns, y, is proportional to the number of bracelets, x, she sells and she earns $10 for each sold bracelet, then we can write the equation as follows:
y = kx
where k is the constant of proportionality. To find k, we can use the information that Emma earns $10 for each sold bracelet:
y = $10 * x
Therefore, the equation representing the total amount Emma earns at the event is y = $10x.
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The equation representing the total amount Emma earns at the event is y = $10x.
If the total amount Emma earns, y, is proportional to the number of bracelets, x, she sells and she earns $10 for each sold bracelet, then we can write the equation as follows:
y = kx
where k is the constant of proportionality. To find k, we can use the information that Emma earns $10 for each sold bracelet:
y = $10 * x
Therefore, the equation representing the total amount Emma earns at the event is y = $10x.
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Help Reymond identify the option with the correct formula for the area of a rectangle.
a. l + b
b. I x b
c. I + b + I + b
Answers
The sum of a rectangle's length (a) and breadth (b) equals the area of the rectangle (A). So, the area of a rectangle is equal to (a b) square units. l × b.
Why Do We Calculate the Area of a Rectangle?To determine the area occupied by a rectangle within its perimeter, we compute the area of the rectangle.The region that the rectangle's sides occupy is known as the area of the rectangle.By dividing the rectangle's length by its breadth, we may determine the area of a rectangle.Area = base / height / 12. Area = 1/2 of b/h. length times length equals area. Area = l2. length times width equals area. L times B is the formula for area. Area equals: a radius plus a radius Area = π × r2(π = 3.14)There are formulas for the area, perimeter, and diagonal of rectangles. To refresh your memory, a rectangle is a four-sided polygon whose opposite sides are all the same length.To learn more about rectangle refer to:
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If DE = 4x + 5 and GJ = 3x + 25, find DE.
Answers
If DE = 4x + 5 and GJ = 3x + 25, and the value of both the expressions is same, then value of DE is, 85
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
Two expressions,
DE = 4x + 5 and GJ = 3x + 25,
If DE = 4x + 5 and GJ = 3x + 25, and they have the same value, then we can set the two expressions equal to each other:
4x + 5 = 3x + 25
Solving for x, we get:
x = 20
So, when x = 10,
DE = 4 x20 + 5
= 85
and GJ = 3 x 20 + 25
= 85
Therefore, the value of DE is 85.
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You have been asked to find the value of f(-5) for the function
f(x)=3x2 -2x+5
Which of the following options is NOT a possible way to evaluate that function and find the correct answer?
A. Substitute (-5) wherever there is an x and solve using a calculator
B. Graph the equation and look at the table to find the y-value when x=-5
C. Graph the equation and find the y-value of the ordered pair when x=-5
D. See what x is when y=-5
Answers
The option D. See what x is when y = -5 is not a possible way to evaluate the value of f(-5).
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
The given function is f(x) = 3x² - 2x + 5.
f(-5) is actually the value of y or f(x) when x = -5.
By substituting -5 in place of x of the function, we will get f(-5).
Also we can find the value of f(-5) by graphing the function and finding the y value corresponding to the x value of -5.
Hence the way that is not possible is option D.
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42= −7( z − 3)
TYSMFYH
Answers
Answer:
z = -3
Step-by-step explanation:
-7(z - 3) = 42
Distribute -7 to both numbers inside the parenthesis:
(-7(z) - -7(3)) = 42
-7z + 21 = 42
Subtract 21 from both sides:
-7z = 21
Divide both sides by -7:
[z = -3]
After you will have 42= -7x + 21
After minus 21 by itself and 42
You will get 21
After divide -7x/-7 and 21/-7
Your answer will be -3
assume that a customer shops at a local grocery store spending an average of $ a week, resulting in a retailer profit of $ each week from this customer. assuming the shopper visits the store all 52 weeks of the year, calculate the customer lifetime value if this shopper remains loyal over a 10-year life span. also assume a percent annual interest rate and no initial cost to acquire the customer.
Answers
"The customer yields $780 per year in profits for this retailer."
Customer lifetime value (CLV) is a prediction of the total value a customer will bring to a business over their entire relationship with the company. Retailer profits refer to the financial gain a retailer makes after subtracting all costs, including the cost of goods sold, operating expenses, and taxes, from the revenue generated by their retail sales.
The customer spends $250 a week, so the retailer profits:
= $250 - $235= $15 from each visit.If the shopper visits the store every week for a year, the retailer profits:
= $15 x 52= $780 per yearIf this shopper remains loyal for a 10-year lifespan, the retailer profits:
= $780 x 10= $7,800This is the CLV without considering inflation or any other factors. To consider inflation, we can apply the 8% annual interest rate to calculate the present value of the future profits. The present value of $7,800 over 10 years with an 8% interest rate is approximately $5,100 (the exact value will depend on the method used to calculate the present value).
This question should be provided as:
Assume that a customer shops at a local grocery store spending an average of $250 a week, resulting in a retailer profit of $15 each week from this customer. Assuming the shopper visits the store all 52 weeks of the year, calculate the customer lifetime value if this shopper remains loyal over a 10-year life span. Also assume a 8 percent annual interest rate and no initial cost to acquire the customer.
The customer yields $_____ per year in profits for this retailer.
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What is wrong with the following statement? "The results of the experiment do not agree with the theory, there's something wrong with the experiment"?
Answers
The statement "The results of the experiment do not agree with the theory, there's something wrong with the experiment" is wrong as it does not indulge any other reasons for the results of the experiment not agreeing with the theory.
This statement assumes that the experiment is always at fault and neglects the possibility that the theory may be incorrect or incomplete.
The outcome of an experiment can be influenced by various factors, such as measurement errors, incorrect experimental design, or limitations of the equipment used.
Thus, it is always important to consider multiple explanations before concluding that there is a problem with the experiment.
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Jenny has ten chickens that lay eggs every day. She wants to give away
her extra eggs to her neighbors, but she wants to give each neighbor an
equal number of eggs. She figures out that she needs to give 7 of her
neighbors eggs for them to get the same amount, otherwise there is one
egg left over. What is the smallest number of eggs she needs for this
situation to be true?
Answers
Answer: 14 eggs
Step-by-step explanation: Hello!
You know that there are 10 chickens that lay eggs every day. There are 7 neighbors that she needs to give eggs to so that they each get the same amount otherwise there is one egg left over. We know that each chicken must produce at least one egg per day, meaning that the bare minimum amount of eggs per day is 10. Let's try 10.
10/7 = 1 and 3/7. This means that there would be 3 eggs remaining. This is not possible. Let's try 11.
11/7 = 1 and 4/7. This means there would be 4 eggs remaining. Let's try 14.
14/7 = 2. This is the smallest number of eggs for each neighbor to get the same amount of eggs each per day (2). The smallest number of eggs she needs in total is 14.
find an angle that is coterminal with a standard position angle measuring -210° that is between -720°and -360°
Answers
The coterminal angle with -210° is -570°. This is because subtracting 360° from -210° gives us -570° which is between -720° and -360°.
To find an angle coterminal with -210° that is between -720° and -360°, we need to subtract 360° from -210°. By doing this, we end up with -570° which is the coterminal angle with -210° that lies between -720° and -360°. This is because angles on the circle can 'wrap around' infinitely, and when we subtract 360° from -210°, we end up with an angle that is still equivalent to -210°, but between the two values we are looking for. Therefore, the angle we were looking for is -570°.
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geometric mean of 3 and 17
Answers
Answer:
To calculate the geometric mean of two numbers, you would multiply the numbers together and take the square root of the answer.
3 * 17 = 51
The square root of 51 is: 7.141
7.141 is the geometric mean of 3 and 17.
Step-by-step explanation:
Hope it helps! =D
An outcome table with 36 possible outcomes. The number of desired outcomes is 9. What is the probability of rolling an even number and then an odd number when rolling two number cubes? size of sample spaces = number of desired outcomes = p(first is even and second is odd) =.
Answers
The probability of rolling an even number and then an odd number when rolling two number cubes is 1/4 or 0.25.
The sample space is the set of all possible outcomes, which in this case is 36. The number of desired outcomes is 9, as the question specifies.
The probability of rolling an even number and then an odd number when rolling two number cubes is 1/4 or 0.25. You calculate this by taking the number of desired outcomes (9) and dividing it by the total number of possible outcomes (36).
The probability of rolling an even number and then an odd number when rolling two number cubes is 1/4 or 0.25. This is calculated by taking the number of desired outcomes (9) and dividing it by the total number of possible outcomes (36).
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When rolling two number cubes, the likelihood of first getting an even number and then an unusual one is 1/4, or 0.25. You can determine this by dividing the total number of possible outcomes by the number of intended outcomes (9). (36).
When rolling two number cubes, the likelihood of first getting an even number and then an unusual one is 1/4, or 0.25. This is calculated by dividing the total number of possible outcomes (which is 36) by the number of intended outcomes (9). (36).
how ot see how fast membership is incresing initially calculus
Answers
The first derivative will give the slope of the function.
The second derivative will give you the point at which the function is increasing or decreasing the most rapidly.
If the 3rd derivative is negative, the rate of increase at the 2nd derivative point will be maximum; if positive, it will be a minimum.
A function's varied rate of change with respect to an independent variable is referred to as a derivative. When there is a variable quantity and the rate of change is irregular, the derivative is most frequently utilized. The derivative is used to assess how sensitive a dependent variable is to an independent variable (independent variable).
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12. Mary and Jenny worked in a bookstore during the summer. Because of the experience, Mary's pay is 20% more than Jenny's. Last week, Mary worked for 30 hours and Jenny worked for 25 hours. Together they made $610. What are Mary's and Jenny's hourly rates?
Answers
Answer:
Let x be Jenny's hourly rate. Then Mary's hourly rate is x + 0.2x = 1.2x.
The total amount of money they earned for the hours they worked is the same, so we can set up the equation:
30x + 25(1.2x) = 610
Expanding the second term and solving for x:
30x + 30x = 610
60x = 610
x = 10.17
So Jenny's hourly rate is $10.17 and Mary's hourly rate is $12.20.
How do you convert 64 Kilogram (kg) to Pound (lb)
Answers
Kilograms Pounds, kilograms and ounces, 64 kilos 141.1 lbs 141 lbs, 2 ounces.
How much is one kilogramme in pounds?Remember that 1 kg is equal to 2.2046 lbs when converting between the two units.
One pound generally weighs 0.45359237 kilos. One can convert a pound to kilogrammes by multiplying the stated number of pounds by an average of 0.45359237.
One kilogramme is equivalent to 2.2 pounds (kg). The kg to pounds conversion results in 2.2 pounds for 1 kilogramme. One of the keys to remembering this conversion is the capacity to compute your own weight in pounds and kilogrammes.
The kilogramme will probably be used going forward because it is a smaller figure and is easier for you to memorise.
The kilograms to pounds conversion table
Kilograms Pounds
kilograms and ounces
64 kilos 141.1 lbs 141 lbs, 2 ounces.
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How to solve system of equations using Gauss-Jordan elimination?
Answers
Gauss-Jordan Elimination is a technique for solving systems of linear equations and for determining the inverse of any invertible matrix.
What is meant by Gauss-Jordan elimination?Gauss-Jordan Elimination is a method for finding the inverse of any invertible matrix and for solving systems of linear equations. It is based on the three simplest row operations one may do on a matrix: Place two of the rows in opposite positions. A nonzero scalar multiplied by one of the rows
Since a similar version was described by Wilhelm Jordan in 1888 in his book "Handbuch der Vermessungskunde" independently of B. I. Clasen, who published something similar in the same year, the procedure known as Gauss-Jordan elimination for converting a matrix into reduced echelon form also includes the name Jordan.
This method, which is also known as row reduction, has two steps: forward elimination and back substitution. These two Gaussian elimination method steps differ from one another not by the operations that can be performed through them but rather by the outcome that is obtained.
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in example 2.10, identify three events that are mutually exclusive. b. suppose there is no outcome common to all three of the events a, b, and c. are these three events necessarily mutually exclusive? if your answer is yes, explain why; if your answer
Answers
The mutually exclusive events are:
A = {Chevrolet, Pontiac, Buick}
B = {Ford, Mercedes}
C = {Lincoln, Chrysler}
Explanation:
We will identify the given three events that are mutually exclusive.
From example 2.10
A = {Chevrolet, Pontiac, Buick }
B = {Ford, Mercedes }
C = {Lincoln, Chrysler }
Step 1 of 1
If A∩B=∅ where A and B
are two events then we can say that they are mutually exclusive.
And if there are three or more events then they are mutually exclusive if no two events have an element in common.
Now, events from example 2.10
are:
A = {Chevrolet, Pontiac, Buick}
B = {Ford, Mercedes}
C = {Lincoln, Chrysler}
We can see that all the name card are car brand and their intersection is empty.
Hence, they are mutually exclusive.
Then,
A∩B=∅ and A∩C =∅ and B∩C=∅
Final answer
The mutually exclusive events are:
A = {Chevrolet, Pontiac, Buick}
B = {Ford, Mercedes}
C = {Lincoln, Chrysler}
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The mutually exclusive events are:
A = {Chevrolet, Pontiac, Buick}
B = {Ford, Mercedes}
C = {Lincoln, Chrysler}
We will identify the given three events that are mutually exclusive.
From example 2.10
A = {Chevrolet, Pontiac, Buick }
B = {Ford, Mercedes }
C = {Lincoln, Chrysler }
Step 1 of 1
If A∩B=∅ where A and B
are two events then we can say that they are mutually exclusive.
And if there are three or more events then they are mutually exclusive if no two events have an element in common.
Now, events from example 2.10
are:
A = {Chevrolet, Pontiac, Buick}
B = {Ford, Mercedes}
C = {Lincoln, Chrysler}
We can see that all the name cards are car brands and their intersection is empty.
Hence, they are mutually exclusive.
Then,
A∩B=∅ and A∩C =∅ and B∩C=∅
Final answer
The mutually exclusive events are:
A = {Chevrolet, Pontiac, Buick}
B = {Ford, Mercedes}
C = {Lincoln, Chrysler}
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Tell whether the fractions are equivalent. Write equal or not equal. 2/3 and 4/10 5/6 and 10/12 1/4 and 4/8
Answers
2/5 = 4/10 and 14/35
4/6 = 2/3 and 6/9
3/8 = 6/16 and 9/24
hope this helps!!
Two brothers each purchase a new pair of hiking boots and two canteens. The hiking boots cost 34. 00 each. The total of their purchase wad 98. 0.
Write an equation and solve
Answers
The equation formed will be - cost × number of hiking boots + cost × number of canteens and the cost of canteens will be 15.
The equation that will be formed is -
Total cost of purchase = cost of hiking boots × number of hiking boots + cost of canteens × number of canteens
Keep the values in formula to find number of canteens, as it is the only value not provided in the question.
98 = 2×34 + 2× cost of canteens
Performing multiplication on Right Hand Side of the equation
98 = 68 + 2×cost of canteens
Rewriting the formula -
2× cost of canteens = 98 - 68
Performing subtraction on Right Hand Side of the equation
2× cost of canteens = 30
Cost of canteens = 30/2
Performing division on Right Hand Side of the equation
Cost of canteens = 15 each
Thus, the cost of canteens is 15 each.
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Five friend attend a matinee movie and pend $8 per ticket. They alo purchae a mall bag of popcorn each. The friend pend a total of $62. 50. Let x be the price of a mall bag of popcorn
Answers
The equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct.
What is the equation?
An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, five buddies each pay $8 for a ticket to the matinee. Additionally, they each buy a little bag of popcorn. The pals spend $62.50 altogether.
Suppose x represent the price of a small bag of popcorn.
(cost of ticket + cost of popcorn) × number of friends = total cost
⇒ (8 + x) 5 = 62.5
Simplify the equation to obtain the value of x as,
⇒ (8 + x) = 62.5/5
⇒ 8 + x = 12.5
⇒ x = 12.5 - 8
⇒ x = 4.5
Thus, the equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct. Option C is correct.
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The equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct.
What is the equation?
An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, five buddies each pay $8 for a ticket to the matinee. Additionally, they each buy a little bag of popcorn. The pals spend $62.50 altogether.
Suppose x represent the price of a small bag of popcorn.
(cost of ticket + cost of popcorn) × number of friends = total cost
⇒ (8 + x) 5 = 62.5
Simplify the equation to obtain the value of x as,
⇒ (8 + x) = 62.5/5
⇒ 8 + x = 12.5
⇒ x = 12.5 - 8
⇒ x = 4.5
Thus, the equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct. Option C is correct.
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HELPPPPPPPPP
Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The video games cost $43 each. Choose the inequality that would be used to solve for the maximum number of video games Jasmine can buy with her savings.
a: 43 + 72x ≤ 1,128
b: 43 + 72x ≥ 1,128
c: 43x + 72 ≥ 1,128
d: 43x + 72 ≤ 1,128
Answers
Answer:
c
Step-by-step explanation:
Write an expression that includes multiplication to show how to find the total amount of the plant growth in inches. then slove your expression.
Answers
Answer:
Step-by-step explanation:
Add, Added to, the sum of, more than, increased by, the total of, plus. +. Add x to y x + y y added to 7.
Im doing Financial position throughout the life cycle homework and i would like to know Chuck And Wendy's investment assets and total assets?
Answers
Chuck and Wendy's investment assets is to use their gross assets as a base and then add in any net assets.
For example, if Chuck and Wendy have $100,000 in gross assets and $50,000 in net assets, their investment assets would be $120,000.
Chuck and Wendy's fixed assets and total wealth depend on many factors, including the level of risk they are willing to take, expected return, and overall financial stability.
For example, Chuck and Wendy's may have higher risk if they have a higher return on investment but still have $100,000 in total assets if their expected return is 5%.
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The graph shows the absolute value parent function.
which statement best describes the function?
(image attached)
Answers
The correct statement regarding the sign of the absolute value function is given as follows:
B. The function is never negative.
How to classify a function as positive or negative?A function is classified as positive in the intervals that it's graph is positioned above the x-axis.
A function is classified as negative in the intervals that it's graph is positioned below the x-axis.
When the graph of the function is exactly at the x-axis, it is said that the function assumes a value of zero.
For this problem, the lowest value assumed by the function is at the x-axis, hence it is of zero and the function is never negative, meaning that option B is correct.
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the rate of change of the weight of a laboratory mouse can be modeled by the equation where t is the age of the mouse in weeks and . what does mean?
Answers
dW/dt represents rate of change of mouse weight with respect to time, or derivative of weight with respect to time.
What is weight ?
Weight is a measure of the force exerted on an object due to gravity. It is commonly defined as the mass of an object multiplied by the acceleration due to gravity. In physics, weight is often expressed in units of Newtons or pounds.
The expression dW/dt represents the rate of change of the weight of the mouse (W) with respect to its age (t) in weeks. The symbol dW/dt is known as the derivative of the weight with respect to time and represents the rate of growth or decline of the mouse's weight.
dW/dt represents rate of change of mouse weight with respect to time, or derivative of weight with respect to time.
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dW/dt represents rate of change of mouse weight with respect to time, or derivative of weight with respect to time.
Weight is a measure of the force exerted on an object due to gravity. It is commonly defined as the mass of an object multiplied by the acceleration due to gravity. In physics, weight is often expressed in units of Newtons or pounds.
The expression dW/dt represents the rate of change of the weight of the mouse (W) with respect to its age (t) in weeks. The symbol dW/dt is known as the derivative of the weight with respect to time and represents the rate of growth or decline of the mouse's weight.
dW/dt represents rate of change of mouse weight with respect to time, or derivative of weight with respect to time.
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RST has vertices R(0,0), S(6,3), and T(,3-3). R'S'T' is the image of RST after a dilation with center (0,0) and scale factor 2/3 . What are the coordinates of point T'?
Answers
The coordinates of point T' is (2, -2)
How to determine the image pointA dilation is a transformation that changes the size of a figure but not its shape.
In a dilation with respect to the origin, a point (x, y) is transformed to a point (kx, ky) where k is a scale factor.
In this case, the point T (3, -3) is transformed under a dilation of 2/3 with respect to the origin.
So the image point is (kx, ky) = (3 * 2/3, -3 * 2/3) = (2, -2)
So the image point of T under a dilation of 2/3 with respect to the origin is (2, -2)
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POINTS UP FOR GRABS!!!
Answers
Answer:Write the slope-intercept form of the line with the given slope and point.
m=−2; (5, 1)
Step-by-step explanation: